72739825301 has 48 divisors (see below), whose sum is σ = 91310051952. Its totient is φ = 57360906240.

The previous prime is 72739825297. The next prime is 72739825309. The reversal of 72739825301 is 10352893727.

It can be written as a sum of positive squares in 8 ways, for example, as 3386076100 + 69353749201 = 58190^2 + 263351^2 .

It is not a de Polignac number, because 72739825301 - 2² = 72739825297 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72739825309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21310871 + ... + 21314283.

It is an arithmetic number, because the mean of its divisors is an integer number (1902292749).

Almost surely, 2^72739825301 is an apocalyptic number.

It is an amenable number.

72739825301 is a deficient number, since it is larger than the sum of its proper divisors (18570226651).

72739825301 is a wasteful number, since it uses less digits than its factorization.

72739825301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 72739825301 in words is "seventy-two billion, seven hundred thirty-nine million, eight hundred twenty-five thousand, three hundred one".